Answer:
12 cm and 17 cm
Step-by-step explanation:
In all triangles, the sum of any two sides must be greater than the third side. To test this, choose the two shortest sides of the triangle and see if they add to be larger than the third side. If this holds true, then the triangle is possible because all other sides you can choose will also hold true.
Trying each of the answer choices, we have:
[tex]\checkmark 10+12> 17,\\\times 5+10 \ngtr 15,\\\times 1+8 \ngtr 10,\\\times 3+7 \ngtr 10[/tex]
Therefore, the answer is 12 cm and 17 cm.
